IEEE Trans Nanobioscience. 2023 Oct;22(4):836-844. doi: 10.1109/TNB.2023.3241652. Epub 2023 Oct 3.
The emergence of biological computing based on DNA strand displacement has allowed chaotic systems to have more abundant dynamic behaviors. So far, the synchronization of chaotic systems based on DNA strand displacement has been mainly realized by coupling control and PID control. In this paper, the projection synchronization of chaotic systems based on DNA strand displacement is achieved using an active control method. First, some basic catalytic reaction modules and annihilation reaction modules are constructed based on the theoretical knowledge of DNA strand displacement. Second, the chaotic system and the controller are designed according to the above mentioned modules. On the basis of chaotic dynamics, the complex dynamic behavior of the system is verified by the lyapunov exponents spectrum and the bifurcation diagram. Third, the active controller based on DNA strand displacement is used to realize the projection synchronization between the drive system and the response system, where the projection can be adjusted within a certain range by changing the value of the scale factor. The result of projection synchronization of chaotic system is more flexible, which is realized by active controller. Our control method provides an efficient way to achieve synchronization of chaotic systems based on DNA strand displacement. The designed projection synchronization is verified to have excellent timeliness and robustness by the results Visual DSD simulation.
基于 DNA 链置换的生物计算的出现使得混沌系统具有更丰富的动力学行为。到目前为止，基于 DNA 链置换的混沌系统同步主要通过耦合控制和 PID 控制来实现。本文采用主动控制方法实现了基于 DNA 链置换的混沌系统的投影同步。首先，根据 DNA 链置换的理论知识构建了一些基本的催化反应模块和湮灭反应模块。其次，根据上述模块设计混沌系统和控制器。在混沌动力学的基础上，通过 Lyapunov 指数谱和分岔图验证了系统的复杂动态行为。第三，基于 DNA 链置换的主动控制器用于实现驱动系统和响应系统之间的投影同步，其中通过改变比例因子的值可以在一定范围内调整投影。通过主动控制器实现了混沌系统投影同步，其结果更加灵活。我们的控制方法为基于 DNA 链置换的混沌系统同步提供了一种有效的方法。通过可视化 DSD 仿真的结果验证了设计的投影同步具有优异的实时性和鲁棒性。
